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Finding the Fourth Proportional to 158,447.82, 218,663.32 and 86,827.22

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Solution

The fourth proportional to 158,447.82, 218,663.32 and 86,827.22 is: 119,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,447.82 : 218,663.32 = 86,827.22 : x
  2. Step 2: Convert to fraction form
    158,447.82/218,663.32 = 86,827.22/x
  3. Step 3: Cross multiply
    158,447.82x = 218,663.32 × 86,827.22
  4. Step 4: Simplify right side
    158,447.82x = 18,985,926,881.19
  5. Step 5: Solve for x
    x = 18,985,926,881.19/158,447.82
  6. Step 6: Final answer
    x = 119,824.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.